420024000000 has 1120 divisors, whose sum is σ = 1603531974528. Its totient is φ = 96768000000.

The previous prime is 420023999917. The next prime is 420024000007. The reversal of 420024000000 is 420024.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 420024000000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420024000007) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 9767999979 + ... + 9768000021.

Almost surely, 2^420024000000 is an apocalyptic number.

420024000000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420024000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (801765987264).

420024000000 is an abundant number, since it is smaller than the sum of its proper divisors (1183507974528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420024000000 is an frugal number, since it uses more digits than its factorization.

420024000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 420024000000 its reverse (420024), we get a palindrome (420024420024).

420024000000 divided by its reverse (420024) gives a 6-th power (1000000 = 10⁶).

The spelling of 420024000000 in words is "four hundred twenty billion, twenty-four million", and thus it is an aban number.